This coming winter will be our 3rd snowbirding season. The first year we hopped around to about 8 different campgrounds over a 6+ week period. We mainly did that just to see different parks in FL. Last winter we did about 6 different parks over 9 weeks, staying about 9 weeks in FL and a short stop in Gulf Shores, AL. This year we're looking at about 10-11 weeks, mostly in FL, but with 2 months in just one park and a couple of short stays elsewhere in FL.
Southern AL or GA are a bit too chilly for me. We will spend some time south of I-4 in FL, but our 2 month stay will be north of Tampa about 70 miles in Crystal River, FL. It's still cooler there than south of Tampa, but we've stayed there for 5 weeks before and didn't mind the temps.
Traveling a lot can get more expensive. The longer you stay in a park generally the lower the daily cost. State or federal campgrounds certainly bring down the cost compared to private parks. We've used FL state parks several times and will again use one we liked down in Sebring as well as a county park in Melbourne. They are great for checking out an area, but don't offer activities like the private parks. You can always design a trip to your liking and if it doesn't suit you change it the next year. Experience is a great teacher.